Select Letters to Represent the Simple Statements and Write Each $\mathrm { p } \wedge ( \sim \mathrm { q } \rightarrow \sim \mathrm { r } )$

question 154

Multiple Choice

Select letters to represent the simple statements and write each statement symbolically by using parentheses then indicate whether the statement is a negation, conjunction, disjunction, conditional, or biconditional.
-If a number is divisible by 3 and the number is not divisible by 2 then the number is not divisible By 6.

• A) \(\mathrm { p } \wedge ( \sim \mathrm { q } \rightarrow \sim \mathrm { r } )\); conjunction
• B) \(\mathrm { p } \vee ( \sim \mathrm { q } \rightarrow \sim \mathrm { r } )\); disjunction
• C) \(( \mathrm { p } \wedge \sim \mathrm { q } ) \leftrightarrow ( \sim \mathrm { r } )\); biconditional
• D) \(( \mathrm { p } \wedge \sim \mathrm { q } ) \rightarrow ( \sim \mathrm { r } )\); conditional